Logic is the study of correct reasoning. It includes both formal and informal logic. Formal logic is the study of deductively valid inferences or logical truths. It examines how conclusions follow from …

Although Logic is a single field of study, there is more than one logic in this field. In the three main units of this book, we look at three different types of logic, each more sophisticated than the one before.

Philosophy of logic, the study, from a philosophical perspective, of the nature and types of logic, including problems in the field and the relation of logic to mathematics, computer science, the …

Along the way to motivating, formulating precisely and proving this theorem, we will also establish some of the basic facts of Model Theory, Proof Theory and Recursion Theory, three of the main parts of logic.

Mathematical logic investigates the power of mathematical reasoning itself. The various subfields of this area are connected through their study of foundational notions: sets, proof, computation, and models.

Sep 1, 2023 · Aristotle defined logic as the study of valid reasoning and syllogisms. His work laid the foundation for much of Western philosophy. According to Aristotle, logic is not just a system of rules …

In mathematical logic, a theory (also called a formal theory) is a set of sentences in a formal language. In most scenarios a deductive system is first understood from context, giving rise to a formal system …

An introduction to the discipline of logic covering subjects from the structures of arguments, classical and modern logic, categorical and inductive inferences, to informal fallacies.

Sep 16, 2000 · Typically, a logic consists of a formal or informal language together with a deductive system and/or a model-theoretic semantics. The language has components that correspond to a part …

Oct 29, 2025 · Logic, the study of correct reasoning, especially as it involves the drawing of inferences. This article discusses the basic elements and problems of contemporary logic and provides an …